442534680 has 144 divisors (see below), whose sum is σ = 1673118720. Its totient is φ = 101146752.

The previous prime is 442534679. The next prime is 442534699. The reversal of 442534680 is 86435244.

442534680 is a `hidden beast` number, since 4 + 42 + 534 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5097 + ... + 30183.

It is an arithmetic number, because the mean of its divisors is an integer number (11618880).

Almost surely, 2^442534680 is an apocalyptic number.

442534680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442534680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

442534680 is an abundant number, since it is smaller than the sum of its proper divisors (1230584040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442534680 is a wasteful number, since it uses less digits than its factorization.

442534680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25118 (or 25104 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 442534680 is about 21036.5082653942. The cubic root of 442534680 is about 762.0481917152.

The spelling of 442534680 in words is "four hundred forty-two million, five hundred thirty-four thousand, six hundred eighty".